How to Find GCF of 8521/692, 4400/4694?

GCF of 8521/692, 4400/4694

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 8521/692, 4400/4694 i.e 1/1624124 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8521/692, 4400/4694.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 8521/692,4400/4694?

Given fractions are 8521/692,4400/4694

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 8521/692,4400/4694, numerators are 8521,4400

Denominators are 692,4694

The GCF of 8521,4400 is 1 .

LCM of 692,4694 is 1624124.

The greatest common factor of 8521/692,4400/4694 = [GCF of 8521,4400]/[LCM of 692,4694]= 1/1624124

Therefore, the GCF of 8521/692,4400/4694 is 1/1624124.

Greatest Common Factor of 8521,4400

To find the highest common factor of 8521,4400, we have to find the factors of both numbers and list the highest common factor.

The factors of 8521 are 1, 8521

The factors of 4400 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 40, 44, 50, 55, 80, 88, 100, 110, 176, 200, 220, 275, 400, 440, 550, 880, 1100, 2200, 4400

The HCF of 8521,4400 is 1.

Lets's calculate GCF of 8521,4400

Greatest Common Factor (GCF) of 8521,4400 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8521,4400 By Matching Biggest Common Factor Method

Now, list down the factors of 8521

1,8521

Now, list down the factors of 4400

1,2,4,5,8,10,11,16,20,22,25,40,44,50,55,80,88,100,110,176,200,220,275,400,440,550,880,1100,2200,4400

Greatest Common Factor

We found the factors 8521,4400 . The biggest common factor number is the GCF number.
So the greatest common factor 8521,4400 is 1.

Lets's calculate LCM of 692,4694

Lowest Common Multiple of 692,4694 using Common Division

2	692, 4694
	346, 2347

∴ So the LCM of the given numbers is 2 x 346 x 2347 = 1624124

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1624124

Therefore, the GCF of Fractions 8521/692,4400/4694 is 1/1624124

Least Common Multiple of 692,4694 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 692,4694 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(692,4694) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(692,4694) x common factors =2 x 1 = 2

LCM(692,4694) = ( 692 × 4694 ) / 2

LCM(692,4694) = 3248248 / 2

LCM(692,4694) = 1624124

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 8521/692, 4400/4694

1. What is the HCF of 8521,4400?

The HCF of 8521,4400 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 8521/692, 4400/4694?

Answer: GCF of Numerators as per given numbers 8521/692, 4400/4694 is

GCF of Numerators i.e. for 8521,4400 is 1

LCM of denominators i.e. for 692,4694 is 1624124.

Thus, GCF of Fractions is 1/1624124.Finally, GCF of Fractions for 8521/692, 4400/4694 is 1/1624124.